Fourier Analysis and Its Applications Hardcover - 2003
by Anders Vretblad
First line
In this introductory chapter, we give a brief survey of three main types of partial differential equations that occur in classical physics.
From the rear cover
This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually will not find in books at this level.
Many of the chapters end with a summary of their contents, as well as a short historical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field.
Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.
Details
- Title Fourier Analysis and Its Applications
- Author Anders Vretblad
- Binding Hardcover
- Edition 1st
- Pages 272
- Volumes 1
- Language ENG
- Publisher Springer, New York, NY
- Date 2003-07-17
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9780387008363 / 0387008365
- Weight 1.28 lbs (0.58 kg)
- Dimensions 9.21 x 6.14 x 0.69 in (23.39 x 15.60 x 1.75 cm)
- Library of Congress subjects Fourier analysis
- Library of Congress Catalog Number 2003044941
- Dewey Decimal Code 515.243
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